Fourier multipliers and their applications to PDE on the quantum Euclidean space
Ruzhansky M. Shaimardan S. Tulenov K.
September 2025Birkhauser
Nonlinear Differential Equations and Applications
2025#32Issue 5
In this work, we present some applications of the Lp-Lq boundedness of Fourier multipliers to PDEs on the noncommutative (or quantum) Euclidean space. More precisely, we establish Lp-Lq norm estimates for solutions of heat, wave, and Schrödinger type equations with Caputo fractional derivative in the case 1
Fourier multipliers , Heat equation , Noncommutative Euclidean space , Nonlinear PDE , Schrödinger type equation , Wave equation
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Department of Mathematics: Analysis, Logic and Discrete Mathematics, Ghent University, Ghent, Belgium
School of Mathematical Sciences, Queen Mary University of London, London, United Kingdom
Institute of Mathematics and Mathematical Modeling, Almaty, 050010, Kazakhstan
Department of Mathematics: Analysis
School of Mathematical Sciences
Institute of Mathematics and Mathematical Modeling
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